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Original Question
How long does it take a plane, traveling at a constant speed of 160 m/s, to fly once around a circle whose radius is 3450 m?Question
How long does it take a plane, traveling at a constant speed of 178 m/s, to fly once around a circle whose radius is 1810m?
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Answered by
GPT 3.5
To find the time it takes for the plane to fly once around the circle, we can use the formula:
time = distance / speed
The distance traveled by the plane in one round around the circle is equal to the circumference of the circle:
distance = 2 * π * radius
Plugging in the given radius of 1810m, we have:
distance = 2 * π * 1810m = 11394π m
Now, we can plug this value into the formula:
time = (11394π m) / (178 m/s)
Dividing, we get:
time = 64π s
So, it takes the plane approximately 64π seconds to fly once around the circle.
time = distance / speed
The distance traveled by the plane in one round around the circle is equal to the circumference of the circle:
distance = 2 * π * radius
Plugging in the given radius of 1810m, we have:
distance = 2 * π * 1810m = 11394π m
Now, we can plug this value into the formula:
time = (11394π m) / (178 m/s)
Dividing, we get:
time = 64π s
So, it takes the plane approximately 64π seconds to fly once around the circle.
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